3 623 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
7247	4	12.8	old
20115815141860702130200884527	29	94.0	old

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	13588 / 40830

Estimated T-Level: 51.7 ⓘ

TF below 2^167 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified	2017-09-21	Oliver Kruse	E8C811EAA67825AA	2	0	1	3
Verified	2017-10-12	kkmrkkblmbrbk	E8C811EAA67825AA	2	3117	1	3
Verified	2020-04-17	Oliver Kruse	FA2AC783A05E45BD	2	3033	5	3
Verified (Factored)	2022-05-12	Jorge Coveiro	FA2AC783A05E45BD	1	3015	5	3
Verified	2024-02-03	Wentao Huang	FA2AC783A05E45BD	2	798	5	3

History

Date	User	Type	Result
2024-02-03	Wentao Huang	C-PRP	M3623/7247/20115815141860702130200884527 : FA2AC783A05E45BD PRP: Verified PRP without proof (small exponent)
2022-07-06	mikr	NF-PM1	B1=120000000000, B2=314605609292724750
2022-05-12	Jorge Coveiro	C-PRP	M3623/7247 : FA2AC783A05E45BD PRP: Verified PRP without proof (small exponent)
2021-09-05	Jinyuan Wang	NF-PM1	B1=1300000000, B2=13000000000, E=12
2020-04-17	Oliver Kruse	C-PRP	M3623/7247/20115815141860702130200884527 : FA2AC783A05E45BD PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M3623/7247/20115815141860702130200884527 : E8C811EAA67825AA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3623/7247/20115815141860702130200884527 : E8C811EAA67825AA PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M3623/7247/20115815141860702130200884527 : E8C811EAA67825AA PRP without proof (not generated)